By Robert Resnick
A brand new version of this advent to fashionable physics, offers new fabric at the most modern experimental checks in relativity, and a fuller therapy of the space-time period and the Kennedy-Thorndike test. It treats the quantum thought of particular heats, with fabric on synchrotron radiation, a modernized remedy of the electron microscope and a preview of quantum mechanics. good points comprise extra old, philosophical and biographical fabric reflecting very important released study of the prior decade, besides an important growth - approximately double - within the variety of difficulties, idea questions and worked-out examples. The booklet additionally contains references, precis tables and illustrations.
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Extra resources for Basic Concepts in Relativity and Early Quantum Theory, Second Edition
20 THE EXPERIMENTAL BACKGROUND OF THE THEORY OF SPECIAL RELATIVITY The Michelson Morley Experiment The hypothesis advanced by Lorentz and by Fitzgerald was that all bodies are contractedin the direction of motion relative to the stationary ether by a factor VI — v2/c2. Again, let the ratio v/c be represented by the symbol /3, so that this factor may be written as V1 — /32. Now, if /° represents the length of a body at rest with respect to the ether (its rest length) and 1 its length when in motion with respect to the ether, then in the MichelsonMorley experiment - 11= /?
As for the origins of his special theory of relativity, Einstein was probably convinced, independently of the experimental background that we have presented, that Maxwell's equations had to have exactly the same form in all inertial * See Refs. 11-19 for some rewarding articles and books about Einstein. Q UESTIONS 31 frames of reference. He may have reached such a conclusion intuitively in his youth while meditating on how a light wave would look to an observer who was following it at speed c. The constancy of the velocity of light seemed to him indisputable, and his 1905 paper begins with the precise electrodynamical experimental situation described in a text on Maxwell's theory that he was studying at the time.
The "binumeral explosion" (one student's preference). (a) Use the binomial expansion theorem to verify each of the expansions displayed in the footnote on page 17. 30, what percent error is made in the first of these expansions if only two terms are kept? Only three terms? (c) Answer these same questions for the second of these expansions. * 18. Michelson Morley, generalized. Figure 1 11 shows a Michelson interferometer (compare Fig. 1-4) with a presumed ether wind whose uniform velocity v makes an - + 12) AN = /32(11 cos 20.